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Finding the Fourth Proportional to 30,316.66, 45,474.67 and 11,848.50

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Solution

The fourth proportional to 30,316.66, 45,474.67 and 11,848.50 is: 17,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316.66 : 45,474.67 = 11,848.50 : x
  2. Step 2: Convert to fraction form
    30,316.66/45,474.67 = 11,848.50/x
  3. Step 3: Cross multiply
    30,316.66x = 45,474.67 × 11,848.50
  4. Step 4: Simplify right side
    30,316.66x = 538,806,627.50
  5. Step 5: Solve for x
    x = 538,806,627.50/30,316.66
  6. Step 6: Final answer
    x = 17,772.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.